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Finding the Third Proportional to 4,486,890 and 6,728,643

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Solution

The third proportional to 4,486,890 and 6,728,643 is: 10,090,427.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,890 : 6,728,643 = 6,728,643 : x
  2. Step 2: Convert to fraction form
    4,486,890/6,728,643 = 6,728,643/x
  3. Step 3: Cross multiply
    4,486,890x = 6,728,643 × 6,728,643
  4. Step 4: Simplify right side
    4,486,890x = 45,274,636,621,449
  5. Step 5: Solve for x
    x = 45,274,636,621,449/4,486,890
  6. Step 6: Final answer
    x = 10,090,427.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.